MAXIMAL IDEALS IN THE ALGEBRA OF OPERATORS ON CERTAIN BANACH SPACES

DOI10.1017/S0013091500001097zbMath1029.47046OpenAlexW2172003246MaRDI QIDQ4787802

Niels Jakob Laustsen

Publication date: 10 November 2003

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500001097

zbMATH Keywords

maximal idealsBanach spaceweakly compact operatorsclosed idealsstrictly singular operatorsalgebra of bounded operatorshereditary indecomposability\(p\)-th James space

Mathematics Subject Classification ID

Infinite-dimensional simple rings (except as in 16Kxx) (16D30) Operator ideals (47L20) Algebras of operators on Banach spaces and other topological linear spaces (47L10) Ideals and subalgebras (46H10)

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The lattice of closed ideals in the Banach algebra of operators on certain Banach spaces ⋮ A Banach space induced by an almost disjoint family, admitting only few operators and decompositions ⋮ Maximal abelian subalgebras of Banach algebras ⋮ Maximal Ideals in Some Spaces of Bounded Linear Operators ⋮ Fréchet spaces with no infinite-dimensional Banach quotients ⋮ When are full representations of algebras of operators on Banach spaces automatically faithful? ⋮ A non-separable uniformly convex Banach space on which there are few operators ⋮ Banach spaces whose algebra of bounded operators has the integers as their \(K_0\)-group ⋮ Perturbations of surjective homomorphisms between algebras of operators on Banach spaces

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